Given the following functions, find g(f(x)). f(x) = 2x + 1 g(x) = x2 + 6​

Answer:

-1

Step-by-step explanation:

The slope is the change in the Y value divided by the change in the X value. Therefore, the slope of this line is:

(-17-[-18])/(-7-[-6) = (-17+18)/(-7+6) = (1)/(-1) = -1

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

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The probability of selling more than 3 properties in one week is 0.4044.

This is a binomial probability problem, where the number of trials is the number of properties shown (17) and the probability of success is 0.40 (the chance of selling any one property).

Let X be the random variable representing the number of properties sold in a week. We want to find P(X ≤ 3).

Using the binomial probability formula, we have:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

where

P(X = k) = (\(^{n}C_k\)) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k successes from n trials.

Plugging in the values, we get:

P(X ≤ 3) = (\(^{17}C_0\)) × \(0.4^0\) × \(0.6^{17}\) + (\(^{17}C_1\)) × \(0.4^1\) × \(0.6^{16}\) + (\(^{17}C_2\)) × \(0.4^2\) × \(0.6^{15}\) + (\(^{17}C_3\)) × \(0.4^3\) × \(0.6^{14}\)

Using a calculator or software, we get:

P(X ≤ 3) ≈ 0.4044

Rounding to four decimal places, the probability of selling no more than 3 properties in one week is 0.4044.

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Answer:

X = 25

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × x

225 = 9x divide both sides by 9

25 = x

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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The recursive formula for the arithmetic sequence in this problem is given as follows:

c(1) = -16.

c(n) = c(n - 1) - 17.

Arithmetic sequences are collections of numbers that share a consistent difference between them; that is, there is a constant amount of subtraction between any two entries in an arithmetic sequence.

The recursive formula for an arithmetic sequence is defined as follows:

c(n) = c(n - 1) + d.

In which d is the common difference of the arithmetic sequence.

The sequence in this problem is given as follows:

-16, -33, -50, -67,...

Then the common difference is obtained as follows:

d = -33 - (-16) = -33 + 16 = -17.

So, c(n) = c(n - 1) - 17.

c(1) = -16.

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Explanation:

The order of the letters in ABC and FED is important. This is because AB pairs with FE. Note how AB is the first two letters of ABC, and FE is the first two letters of FED.

Divide the lengths of FE over AB to get the scale factor:

FE/AB = 20/15 = 4/3

Or you could pick on BC and ED (both are the last two letters of ABC and FED respectively) to get

ED/BC = 8/6 = 4/3

Finally, you could also say

FD/AC = 16/12 = 4/3

--------------------

In short, we could have any of the following:

Therefore, the scale factor is 4/3

Because 4/3 = 1.33 (approx) is larger than 1, this means the image triangle FED is larger than the preimage triangle ABC.

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

Y=3

Step-by-step explanation:

x=1

Y=-2(1)+5

Y=-2+5

Y=3

When an attacker uses the "chargen" (Character Generator) and "echo" services together, it result in an amplification attack. To stop this from occurring in a Cisco-router, we can Disable unnecessary services, Network monitoring and Keep router firmware up to date.

The Chargen service generates a stream of characters, while the echo service echoes back the received data. By sending a small request to the chargen service with a spoofed source IP address, the attacker can cause the chargen service to generate and send a much larger response to the victim's IP address.

To stop this from occurring in a Cisco-router, we can implement the following measures:

(i) Disable unnecessary services: Ensure that the chargen and echo services are disabled on the router.

(ii) Access control lists (ACLs): Implement ACLs on the router to block incoming traffic from untrusted or potentially malicious sources.

(iii) Network monitoring and logging: Implement monitoring and logging mechanisms to detect and analyze unusual or suspicious traffic patterns.

(iv) Keep router firmware up to date: Regularly update the router firmware to ensure that security vulnerabilities are patched.

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Answer:

1. The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle. To find the area of the 12" pizza, we first need to find the radius:

r = 12 / 2 = 6 inches

The area of the pizza is then:

A = πr^2 = π * 6^2 = 36π square inches

2. To find the radius of a pizza that is 25% larger, we can first find the amount by which the radius will increase:

increase = 6 * 0.25 = 1.5 inches

The new radius will then be:

new_r = 6 + 1.5 = 7.5 inches.

Step-by-step explanation:

Answer:

113.1, 8

The equation to find the area of a circle is:

Now we can input 12 into the equation:

To find the radius of a pizza that is %25 larger, we can use this equation:

Well, that's a good question! If we were to multiply by 0.25, the radius would get smaller, instead of bigger. We add the 1.0 because we have to add the original radius, not just the added length.

Fitting the radius into the equation:

Therefore, the area of the pizza is 113.1, and the radius of a pizza that is %25 larger is 8.

Answer:

-3, -3

Step-by-step explanation:

The number of ways to choose a president, vice president, secretary, and treasurer from a science club with 10 members can be determined using the concept of permutations.

First, we select one member from the 10 members to be the president. We have 10 choices for this position.

Next, we select one member from the remaining 9 members to be the vice president. Since one member has already been chosen as the president, we have 9 choices for this position.

Then, we select one member from the remaining 8 members to be the secretary. We have 8 choices for this position.

Finally, we select one member from the remaining 7 members to be the treasurer. We have 7 choices for this position.

Therefore, the total number of ways to choose a president, vice president, secretary, and treasurer from the science club is 10 x 9 x 8 x 7 = 5,040.

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The result to the nearest hundredth, the arc length traveled by the Ferris wheel car is approximately 22.02 feet.

To find the arc length traveled by the Ferris wheel car, we need to know the radius of the circle and the central angle subtended by the arc CD.

Given:

- Angle C = 42°

- Radius d = 30 ft

To calculate the arc length, we can use the formula:

Arc Length = (Central Angle / 360°) * (2π * Radius)

Let's plug in the values and calculate the arc length:

Arc Length = (42° / 360°) * (2π * 30 ft)

Arc Length ≈ (0.1167) * (188.5 ft)

Arc Length ≈ 22.02 ft

Rounding the result to the nearest hundredth, the arc length traveled by the Ferris wheel car is approximately 22.02 feet.

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A Ferris wheel car moves from point C to point D on the circle shown below: с D 42° A d = 30 ft What is the arc length the car traveled, to the nearest hundredth?

0 7.91 feet

O 8.32 feet

O 10.99 feet

O 22.02 feet

Answer:

IG: yiimbert

Sure, here are the calculations for both sides step by step:

(2x3²)²

= (2x9)²   // Evaluate the exponent 3² to get 9

= 18²     // Multiply 2 and 9 to get 18

= 324    // Square 18 to get 324

Therefore, (2x3²)² = 324

(3²)²

= 9²     // Evaluate the exponent 3² to get 9

= 81    // Square 9 to get 81

Therefore, (3²)² = 81

As we can see, (2x3²)² = 324 and (3²)² = 81, and they are not the same value.

The angle AEB becomes a straight angle (180 degrees) as the lines are parallel and there are no intersecting

The relationship between Theorems 10.12 and 10.6 can be described as follows:

Theorem 10.12 states that if two lines are parallel and intersected by a transversal, then the alternate interior angles are congruent.

Theorem 10.6, also known as the Vertical Angles Theorem, states that when two lines intersect, the angles opposite each other (vertical angles) are congruent.

Now, let's consider the relationship between mAB and the value of x as mCD approaches zero.

When mCD approaches zero, it means that the line CD is getting closer and closer to being parallel to line AB. In this case, according to Theorem 10.12, the alternate interior angles mAB and mCD will be congruent.

Finally, when mCD = 0, it means that line CD is actually coinciding with line AB.

Therefore, the angle AEB becomes a straight angle (180 degrees) as the lines are parallel and there are no intersecting lines.

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Answer:

$270.625

Step-by-step explanation:

\(\frac{x}{250} \frac{108.25}{100} = 270.625\)

There are 462 different routes that can be taken to get from point A to point B and all of them pass through c (3, 2).

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart.Since a rectangle's opposite sides are both equal and parallel, it can also be referred to as a parallelogram. The area of a rectangle calculation formula. Dimensions of a rectangle. A = l × b. Once a rectangle's length and breadth are known, its area may be computed. The rectangle's area can be measured in square units by multiplying the length and width.

given

The only permitted horizontal movement is to the right.

In the vertical direction, only upward movement is permitted.

R = 5 and U = 6

The number of feasible paths (N) is then determined as follows:

N = N =\(\frac{(N +U )!}{N!U!}\)

Change the values of N and U

N = \(\frac{( 5 + 6 )!}{5!6!}\)

N = 462

There are 462 different routes that can be taken to get from point A to point B and all of them pass through c (3, 2).

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Here is a careful direct proof of the converse direction of the ideal in a commutative ring.

Suppose that M is a proper ideal in a commutative ring R. We proved in class that if R/M is simple, then M is a maximal ideal in R. Now let's prove the converse, that if M is maximal, then R/M is simple.

To prove this, we must consider the following two facts:

* If M is a maximal ideal in R, then for any ideal N of R, either M is contained in N or N is contained in M.

* If R/M is simple, then for any nonzero ideal N of R/M, N = R/M.

Now, let N be any ideal of R. If M is contained in N, then the image of N in R/M is equal to N. Since R/M is simple, this means that N = R/M.

If M is not contained in N, then N is not contained in M. Since M is maximal, this means that N must be equal to R. The image of N in R/M is therefore also equal to R. Since R/M is simple, this means that N = R/M.

In either case, we have shown that for any ideal N of R, either M is contained in N or N is contained in M. This means that M is a maximal ideal in R.

Therefore, if M is maximal, then R/M is simple.

Thus, it's proved that "If M is a maximal ideal, then R/M is a simple ideal".

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Answer:

Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3

I'm so sorry if this is incorrect.

Have a great day! <3

Answer:

121.5 ft^2

Step-by-step explanation:

To find Volume of Triangular prism, find the area of the triangular shape first.

Step 1:     6 x 4.5 = 27(square)

Step 2:   27 x .5 = 13.5(triangle)

13.5 x 9(the width) = 121.5

Because volume is length x width x height.

The height and length is 6 x 4.5 in this problem.

Note :  I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square.  Dividing by 2 and multiplying by .5 are the same thing.

Example: 20 x .5 =10 or 20/2 =10

Answer:

216

Step-by-step explanation:

72= 36 +36

36(3)+36(3)=216

I'm honestly not sure ,tell me if it's wrong :/

Answer:

$120.51

Step-by-step explanation:

$97 * 1.63 = $158.11

$158.11 * (1-.26) = $117.00

$117.00 * 1.03 = $120.51

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Answer:

1) is 15.

2) is 4.

Step-by-step explanation:

hope this helps :)

Answer:

8,-7 is over in ll

-3,-7 is over in 4

thatsone big difference

lmk if this helped

Answer:

Nobody ever said having faith would be easy, but it will be worth it and here is why.

He knows better than we do. God knows everything we are going through at this very moment and everything we will go through in the future. ...

All Things Are Possible With God.

He Is Worthy Of Our Trust.

He Knows What He Is Doing.

He is the creator of the universe

he exited before the heavens and earth

He is our father and the father of our ancestors

He has performed many miracles

He is the God who answers all prayers if you believe.

He is the one who stands by you in any situation, in good times and bad

He is a merciful, understandable and dependable God

What he says he'll do, that is what he'll do

Answer:

1.5

I am sure of my answer !!!!

Step-by-step explanation:

Hope it helped :)